Question 36
In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2
A particle P P\,P of mass m m\,m kg lies on a smooth horizontal table.
P P\,P is attached to one end of a light inextensible string. The string passes over a smooth pulley fixed at the edge of the table, and a particle Q Q\,Q of mass 4 kg hangs freely at the other end of the string.
The string between P P\,P and the pulley is horizontal, and the string between the pulley and Q Q\,Q is vertical.
The system is released from rest with the string taut, as shown in the diagram below.
The system moves with acceleration 2.8 m s−2^{-2}−2.
a.[3]
Find the tension in the string.
b.[2]
Find the value of mmm.
3.3 R: Forces and Newton's laws Questions
139 exam-style questions on AQA A Level Maths 3.3 R: Forces and Newton's laws, covering 3.3.1 Concept of a force and Newton's first law, 3.3.2 Newton's second law, 3.3.3 Weight and motion under gravity, 3.3.4 Newton's third law and equilibrium, 3.3.5 Addition of forces and resultants (A-level only), and 3.3.6 Friction (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.